On some properties of the mean inactivity time function

Different aspects of mean inactivity time (MIT) function such as properties, bounds and limiting behaviour are studied. We proceed to prove an important characterization theorem and also explore weak convergence issues. Finally, connections between MIT and reversed hazard rate functions are examined...

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Published in:Statistics & probability letters 2021-03, Vol.170, p.108993, Article 108993
Main Authors: Khan, Ruhul Ali, Bhattacharyya, Dhrubasish, Mitra, Murari
Format: Article
Language:English
Subjects:
Life distribution
Mean inactivity time
Reversed hazard rate
Weak convergence
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description Different aspects of mean inactivity time (MIT) function such as properties, bounds and limiting behaviour are studied. We proceed to prove an important characterization theorem and also explore weak convergence issues. Finally, connections between MIT and reversed hazard rate functions are examined.
doi_str_mv 10.1016/j.spl.2020.108993
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source ScienceDirect Journals; Backfile Package - Mathematics (Legacy) [YMT]; Backfile Package - Decision Sciences [YDT]
subjects Life distribution
Mean inactivity time
Reversed hazard rate
Weak convergence
title On some properties of the mean inactivity time function
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